Abstract
This note tells about our first meetings with Konstatin Oskolkov. We discuss also optimal estimates of the rate of convergence of Fourier series obtained by Oskolkov in 1975
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Kolyada, V.I.: Imbedding theorems and inequalities in various metrics for best approximations. Mat. Sbornik 102(144)(2), 195–215 (1977); English transl. in Math. USSR Sb. 31, 171–189 (1977)
Oskolkov, K.I.: Lebesgue’s inequality in a uniform metric and on a set of full measure. Mat. Zametki 18(4), 515–526 (1975); English transl. in Math. Notes 18, 895–902 (1975)
Stechkin, S.B.: On the approximation of periodic functions by de la Vallée Poussin sums. Anal. Math. 4, 61–74 (1978)
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Kolyada, V.I. (2012). My First Meetings with Konstantin Oskolkov. In: Bilyk, D., De Carli, L., Petukhov, A., Stokolos, A., Wick, B. (eds) Recent Advances in Harmonic Analysis and Applications. Springer Proceedings in Mathematics & Statistics, vol 25. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4565-4_3
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DOI: https://doi.org/10.1007/978-1-4614-4565-4_3
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